Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-01-09
Fortsch.Phys. 49 (2001) 475-483
Physics
High Energy Physics
High Energy Physics - Theory
10 pages, latex. To appear in the proceedings of the RTN conference ``The Quantum Structure of Spacetime and the Geometric Nat
Scientific paper
We discuss a general feature of Freund Rubin compactifications that was previously overlooked. It consist in a curious pairing, which we call a shadow relation, of completely different (in terms of spin and mass) fields of the dimensionally reduced theory. Particularly interesting is the case where the compactification preserves a certain amount of supersymmetry, giving rise to a shadowing phenomenon between whole supermultiplets of fields. In particular, there are strong suggestions about the consistency of a massive truncation of 11D supergravity to the massless modes of the graviton supermultiplet plus the massive modes of its shadow partner. This fact has important consequences in the ${\cal N}=2$ and ${\cal N}=3$ cases, which seem to realize respectively a Higgs or a superHiggs phenomenon. In other words, we are led to reinterpret the dimensionally reduced theory as a spontaneously broken phase of some higher (super)symmetric theory.
Fabbri Davide
Fre' Pietro
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